歩きで[あるきで] sounds quite casual and colloquial (unless you use it in phrases such as 後ろ歩きで[うしろあるきで] or 横歩きで[よこあるきで]). We'd rather say "歩いて[あるいて]~~へ(orに)行った/行きました" to say "I walked to~~" in normal conversation and in the written style.